3261973680 has 240 divisors, whose sum is σ = 12984002304. Its totient is φ = 745562880.

The previous prime is 3261973657. The next prime is 3261973681. The reversal of 3261973680 is 863791623.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3261973681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124095 + ... + 148065.

Almost surely, 2^3261973680 is an apocalyptic number.

3261973680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3261973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492001152).

3261973680 is an abundant number, since it is smaller than the sum of its proper divisors (9722028624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3261973680 is a wasteful number, since it uses less digits than its factorization.

3261973680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24006 (or 23988 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3261973680 is about 57113.6908280318. The cubic root of 3261973680 is about 1483.0648807064.

The spelling of 3261973680 in words is "three billion, two hundred sixty-one million, nine hundred seventy-three thousand, six hundred eighty".